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Mathematics

The Epsilon-Delta Definition of a Limit

Quick fact

The epsilon-delta definition was developed in the 19th century by mathematicians like Cauchy and Weierstrass, replacing the vague notion of 'getting closer' with pure logic—no mention of motion or time.

Why this is interesting

You know a limit is 'the value a function gets close to', but what does 'close' really mean? How close is close enough, and can you ever be sure?